2022 YIJC P2 Q1

Solved by

Timothy Gan

This is Tim. Tim loves to teach math. Tim seeks to improve his teaching incessantly! Help Tim by telling him how he can do better.
2022 YIJC P2 Q1
Timothy Gan
2022 YIJC P2 Q1

It is given that $I=\int{\frac{x}{\sqrt{4-2x}}\,\text{d}x}$.

(a)

Use integration by parts to find an expression for $I$.

[2]

(b)

Use the substitution $u=4-2x$ to find another expression for $I$.

[2]

(c)

Show algebraically that the answers to parts (a) and (b) differ by a constant.

[2]

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Published: 8th August 2023
2022 YIJC P2 Q1
Written by
Timothy Gan
This is Tim. Tim loves to teach math. Tim seeks to improve his teaching incessantly! Help Tim by telling him how he can do better.
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Published: 8th August 2023

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